Sahlqvist preservation for topological fixed-point logic

Authors
Publication date 2017
Journal Journal of Logic and Computation
Volume | Issue number 27 | 3
Pages (from-to) 679-703
Organisations
  • Faculty of Science (FNWI)
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract We introduce a new order-topological semantics for the positive modal mu-calculus over modal compact Hausdorff spaces, which are generalizations of descriptive frames. We define Sahlqvist sequents in this language, prove Esakia's lemma and Sahlqvist preservation theorem for this semantics. We show that every Sahlqvist sequent has a frame correspondent in first-order logic with fixed-point operators.
Document type Article
Language English
Published at https://doi.org/10.1093/logcom/exv010
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